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## Homework Statement

Integrate

1/(x

^{2}+11x +29)

## Homework Equations

## The Attempt at a Solution

I'm doing something wrong, but can't figure out what...

Complete the square so that the denominator equals (x+2)

^{2}+25

Then divide by 25: ((x+2)

^{2})/25 + 1

Move that 25 into the squared part: ((x+2)/5)

^{2}+1

Substitute the squared part for u.

Find du/dx = 1/5, and therefore 5du=dx

Now we have 5*(integral sign) du / (u

^{2}+1)

This gives 5arctan(u)+C --> substitute u back for what you had before.

But the answer is 1/5arctan(u). Where did I go wrong?

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